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Ray Atkinson
Ray Atkinson, Graduate Student
Category: Homework
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Experience:  Degrees in Math, Education and Accounting, years and years of tutoring.
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Given the formula : A=P(1+r/n) ^n(times)t Using your calculator, find the amount of

Resolved Question:

Given the formula : A=P(1+r/n) ^n(times)t

Using your calculator, find the amount of money accumulated if you invested $65,000 at 7.3% interest for 10 years compounded quarterly.
Answer


$53,083,473.50


$77,885.67


$133,995.47


None of the above
Submitted: 9 months ago.
Category: Homework
Expert:  Ray Atkinson replied 9 months ago.

Ray Atkinson :

Is that all of the question?

Ray Atkinson :

What I mean is, "How many questions are there?"

Customer:

No and since the government is up and running i am back to military duties away from the classroom and any help. if you can do the following first 20 at least. I really don't get this ...here are the following questions..

Ray Atkinson :

I'll get right to work.

Customer:




Question 1





Given the formula : A=P(1+r/n) ^n(times)t



Using your calculator, find the amount of money accumulated if you invested $65,000 at 7.3% interest for 10 years compounded quarterly.


Answer




$53,083,473.50




$77,885.67




$133,995.47




None of the above




Question 2





Given the formula :A=Pe^r(times)t



Using your calculator, find the money accumulated if I invested $65,000 at 7.3% interest for 10 years compounded continuously.


Answer




None of the above




$96,219,495.29




$69,922.48




$134,880.24




Question 3





Find the inverse of :f(x)=-2x+7



Answer



y=-x-7/2



y=1/-2x+7



y=x+7/-2



y=x-7/-2




Question 4





Determine whether f(x) and g(x) are inverses of each other:


f(x)=2/3x+6



g(x)=3/2x-9



Answer



No, they are not inverses




Yes, they are inverses



Question 5





Determine whether f(x) and g(x) are inverses of each other:



f(x)=3/2x+6


g(x)=2/3x-6


Answer



Yes, they are inverses




No, they are not inverses




Question 6





Using your calculator, evaluate :log12554



Round your answer to the nearest ten-thousandth.


Answer




1.1041




None of the above




2.5422




0.2286




Question 7





Using your calculator, evaluate :log524



Round your answer to the nearest ten-thousandth.


Answer




1.9746




0.9647




3.1781




1.3802




Question 8





Expand the following logarithm as much as possible:logb x^6y/w^2



Answer



6logbx+logby-29times)logbw



logbx^6+logby-logbw^2



6logbx-logby+2(times)logbw



None of the above




Question 9



Expand the following logarithm as much as possible:logb4x^2y



Answer



None of the above



2logb4x+logby



logb4+2logbx+logby



8logbx+logby




Question 10





Express as a single log :5(times)logbx+9(times)logby-3(times)logbz



Answer



logb^5x(times)logb9y/logb3z



logbx^5y^9/logbz^3



None of the above



logb x^5y^9/z^3



Question 11





Express as a single log :logbx-(logby+logbz)



Answer


logb x/yz



logb xy/z



None of the above



logb xz/y




Question 12





Find all solutions for x :log2^x+log2 (x-6)=4



Answer




x = -2




x = 8




x = 2




x = 8 or -2




Question 13





Find all solutions for x :log34-log3x=2



Answer




x = 4/9




x = 1/2




x = 9/4




None of the above



Question 14





Using your calculator, find log 445.3



Round your answer to the nearest ten-thousandth.


Answer




None of the above




1.6487




6.0987




2.6487




Question 15





Using your calculator, find log 0.053



Round your answer to the nearest ten-thousandth.


Answer




0.7243




-1.2757




-2.9375




None of the above




Question 16





Using your calculator, find ln 138.5



Round your answer to the nearest ten-thousandth.


Answer




2.6283




None of the above




2.1414




4.9309




Question 17





Using your calculator, find:In 4/7



Round your answer to the nearest ten-thousandth.


Answer




-0.2430




None of the above




-0.5596




-5.6137




Question 18





Solve this exponential equation to the nearest hundredth :3^x+2=15



Answer




x = 2.33




x = -0.39




x = 3




x = 0.46




Question 19




Solve this exponential equation to the nearest hundredth :2e^4x=8



Answer




x = 0.35




x = 0.52




x = 0.15




None of the above



Question 20



How long will it take for me to get $100,000, if I invest $5,000 in an account giving me 9.7% interest, compounded continuously?



Round your answer to the nearest tenth.


Answer




206.2 yrs




30.9 yrs




None of the above




13.4 yrs




Question 1



Given the formula :



A=P(1+r/n)^n(times)t



Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded monthly.



Answer



$25,046.18



$35,242.79



$734,122.84



None of the above



Question 2



Given the formula:



A=Pe^r(times)t





Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously.



Answer



$779,673.95



$26,098.45



$35,264.47



None of the above



Question 3



Find the inverse of:



F(x)=3x+6



Answer



y=x-6/3



y=x+6/3



y=x-2



None of the above



Question 4



Given the functions :



F(x)=2/3x-6



g(x)=3/2x+9



Determine if f(x) and g(x) are inverses of each other.



Answer



Yes, they are inverses



No, they are not inverses



Question 5



Given the functions:



F(x)=2x+4



G(x)=1/2x-4



Determine if they are inverses of each other.



Answer



Yes, they are inverses



No, they are not inverses



Question 6



Evaluate :



Log755



(Round to the nearest thousandth.)



Answer



1.740



0.486



2.059



None of the above



Question 7



Evaluate :



log17205



(Round to the nearest thousandth.)



Answer



1.879



0.532



2.312



None of the above



Question 8





Expand the following logarithm as much as possible:



Logbx^2y^3/z^4



Answer



logbx^2+logby^3-logbz^4



2logbx^2+3logby^3-4logbz^4






2logbx+3logby-4logbz



None of the above



Question 9



Expand the following logarithm as much as possible:



log xyz²



Answer



log x + log y + 2log z



(log x)(log y)(2log z)



2(log x + log y + log z)



None of the above



Question 10



Express as a single logarithm:



3logbx+5logby-1/2logbz



Answer



Logbx^3logby^5/logbz1/2



Logbx^3y^5/z1/2



Logbx^3y^5/logbz1/2













None of the above



Question 11



Express as a single logarithm:



(logbx-logby)-logbz



Answer



logb x/yz



Logb xz/y



Logb yz/x



None of the above



Question 12



Solve the equation for x : log75+log7x=1



Answer



x = 35



x = 7/5



x = 5/7



None of the above



Question 13



Find all solutions for x: log10^x+log10(x-3)=1



Answer



x = 5



x = 5 or -2



x = -5



x = 2



Question 14



Using your calculator, find log 45.3



Round to the nearest ten-thousandth.



Answer



1.6532



3.8133



1.6561



None of the above



Question 15



Using your calculator, find



Log 17/3



Round to the nearest ten-thousandth.



Answer



0.7533



1.4560



2.5789



None of the above



Question 16



Using your calculator, find in 38.5



Round to the nearest ten-thousandth.



Answer



1.5855



3.6376



3.6507



None of the above





Question 17



Using your calculator, find: In (square root) 58



Round to the nearest ten-thousandth.



Answer



4.0604



2.0302



.8817



None of the above



Question 18



Solve this exponential equation to the nearest hundredth:



2^x+1=9



Answer



x = 2.17



x = 8.00



x = 1.65



x = 3.17





Question 19



Solve this exponential equation to the nearest hundredth (using a calculator as needed)



3e^x-1=17



Answer



x = 6.00



x = 0.78



x = 1.79



None of the above



Question 20



How long will it take me to get $50,000, if I invested $5000 in an account giving me 8.7% interest, compounded continuously?



Round your answer to the nearest tenth.



Answer



11.5 years



26.5 years



0.3 years



None of the above


Customer:

thank you so much..how long before at least the first 20 questions.

Ray Atkinson :

So there are a total of 40 questions?

Customer:

yes

Ray Atkinson :

I'll get to work.

Customer:

Question 1







  1. Given the formula :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]


    Using your calculator, find the amount of money accumulated if you invested $65,000 at 7.3% interest for 10 years compounded quarterly.




    Answer

















    $53,083,473.50





    $77,885.67





    $133,995.47





    None of the above









Question 2







  1. Given the formula :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]


    Using your calculator, find the money accumulated if I invested $65,000 at 7.3% interest for 10 years compounded continuously.




    Answer

















    None of the above





    $96,219,495.29





    $69,922.48





    $134,880.24










Question 3







  1. Find the inverse of :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]



    inlineImageLabel CAwk3tq3a4.gif
    Full Size Image


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]










Question 4







  1. Determine whether f(x) and g(x) are inverses of each other:


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer











    No, they are not inverses





    Yes, they are inverses










Question 5







  1. Determine whether f(x) and g(x) are inverses of each other:


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer











    Yes, they are inverses





    No, they are not inverses









Question 6







  1. Using your calculator, evaluate :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]


    Round your answer to the nearest ten-thousandth.




    Answer

















    1.1041





    None of the above





    2.5422





    0.2286










Question 7







  1. Using your calculator, evaluate :



    Round your answer to the nearest ten-thousandth.




    Answer

















    1.9746





    0.9647





    3.1781





    1.3802










Question 8







  1. Expand the following logarithm as much as possible:


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    None of the above









Question 9







  1. Expand the following logarithm as much as possible:


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    None of the above





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]










Question 10







  1. Express as a single log :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    None of the above





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]










Question 11







  1. Express as a single log :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]





    None of the above





    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]










Question 12







  1. Find all solutions for x :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    x = -2





    x = 8





    x = 2





    x = 8 or -2










Question 13







  1. Find all solutions for x :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    x = 4/9





    x = 1/2





    x = 9/4





    None of the above









Question 14







  1. Using your calculator, find log 445.3


    Round your answer to the nearest ten-thousandth.




    Answer

















    None of the above





    1.6487





    6.0987





    2.6487










Question 15







  1. Using your calculator, find log 0.053


    Round your answer to the nearest ten-thousandth.




    Answer

















    0.7243





    -1.2757





    -2.9375





    None of the above










Question 16







  1. Using your calculator, find ln 138.5


    Round your answer to the nearest ten-thousandth.




    Answer

















    2.6283





    None of the above





    2.1414





    4.9309









Question 17







  1. Using your calculator, find:


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]


    Round your answer to the nearest ten-thousandth.




    Answer

















    -0.2430





    None of the above





    -0.5596





    -5.6137










Question 18







  1. Solve this exponential equation to the nearest hundredth :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    x = 2.33





    x = -0.39





    x = 3





    x = 0.46










Question 19







  1. Solve this exponential equation to the nearest hundredth :


    [IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]




    Answer

















    x = 0.35





    x = 0.52





    x = 0.15





    None of the above










Question 20







  1. How long will it take for me to get $100,000, if I invest $5,000 in an account giving me 9.7% interest, compounded continuously?


    Round your answer to the nearest tenth.




    Answer

















    206.2 yrs





    30.9 yrs





    None of the above





    13.4 yrs









Here's the first 20 in better form


Customer:

never mind it looks worse. sorry

Ray Atkinson :

I have them already. I am on #4

Ray Atkinson :

I tossed it into a Word file and cleaned it up. I am used to doing that.

Ray Atkinson :

Please check question 6. I cannot read it properly. What is the log base?

Customer:

log 12 554

Ray Atkinson :

Thanks.

Ray Atkinson :

#12 does not look right. Is there something missing?

Customer:

[IMAGE][SRC][/SRC][ALT][/ALT][WIDTH]100[/WIDTH][HEIGHT]100[/HEIGHT][STYLE][/STYLE][/IMAGE]

Ray Atkinson :

eh?

Customer:

log2x+log2(x-6)=4

Ray Atkinson :

log2(x)+log2(x-6)=4 is correct?

Ray Atkinson :

both are log base 2

Customer:

yes

Ray Atkinson :

Excellent. Continuing

Ray Atkinson :

Whoops. First 20 are done. Do you want them, or all 40 at once?

Customer:

yes please but can you send me the first 20 please.

Ray Atkinson :

can I just give the answer letters here?

Customer:

sure

Ray Atkinson :

1. $133,995.47
2. $134,880.24
3. y=x-7/-2
4. Yes
5. No
6. 2.5422
7. 1.9746
8. 6 logb x+logb y - 2*logb w
9. 8 logb x+logb y
10. logb x^5y^9/z^3
11. logb x/yz
12. 8
13. 4/9
14. 2.6487
15. -1.2757
16. 4.9309
17. -0.5596
18. 2.33
19. 0.35
20. 30.9

Ray Atkinson :

6 and 7 again. Is #6 log7 55, and is #7 log17 205?

Ray Atkinson :

Question 18 does not have an answer.

Ray Atkinson :

x=3 is the answer, but not one of the choices.

Ray Atkinson :

It is a typo?

Ray Atkinson :

I have the other 19 done.

Customer:

6 is log7 55 and 7 was log 17 205

Ray Atkinson :

Good. I got them right

Customer:

18 is


Solve this exponential equation to the nearest hundredth:


2^x+1=9


 


Answer



















x = 2.17





x = 8.00





x = 1.65





x = 3.17



Ray Atkinson :

2^x + 1 = 9
2^x = 8
2^3=8 so x=3

Customer:

thank you so much, i wish i was as smart as you to understand this stuff. i wanted see after your done if Could answer the next questions if I paid more?


1. Here is the formula for compound interest: A=P(1+r/n)^nt
Describe what the parameters A, P, r, n and t represent and give an example to show how to calculate compound interest using this formula.


2. The "Present Value" of a compound interest account is the amount of money you need to invest in the account today to accumulate A dollars. You can calculate Present Value by solving for P in the compound interest formula above.

Calculate the Present Value (what you would need to invest) if you wanted to accumulate $10,000 by investing in an account for 8 years that pays 6% interest compounded monthly.

If you'd like, pose some other Present Value problems for the class to solve.


3. As the number of times you compound the interest per year increases, the interest also increases. However, it will never be greater than the following formula for "continuous" compound interest: A=Pe^rt

Use the compound interest formula and the continuous compound interest formula to answer the following question:

You just won $150,000 in the lottery and you decide to invest the money for 20 years to save for your retirement. However, you only get to choose one of the 4 options below. Which one would you pick and why?


1. A certificate of deposit paying 5.4% interest compounded annually?


2. A money market certificate paying 5.35% interest compounded semi-annually?


3. A bank account paying 5.3% interest compounded monthly?


4. A bank account paying 5.25% interest compounded continuously?



4. Explain step by step how to determine if two functions are inverses of each other. Provide a detailed example.

5. Give an example from real life where inverse functions are utilized. For ideas, look it up on the internet or find some examples in the textbook.

6. In your own words answer the following question - What is compound interest? What is the difference between compounded monthly and continuously?

Ray Atkinson :

Sure.

Ray Atkinson :

How much more?

Customer:

you tell me

Ray Atkinson :

$6 ?

Ray Atkinson :

I will write it up at the end of the file I have for the other 20 questions.

Customer:

about 15

Customer:

ok thank you

Ray Atkinson :

I'll get done as fast as I can.

Ray Atkinson :

#$5 might take me some time. Creativity is not my strong suit.

Ray Atkinson :

#5 I mean

Customer:

if you can't no worries

Customer:

i was thinking of machines

Customer:

can you send me the other 20 or do you not have them done yet

Ray Atkinson :

I have them. They are in the file I am doing the extra 6

Customer:

got it

Ray Atkinson :

except for that #19 that is wrong.

Customer:

19 is Solve this exponential equation to the nearest hundredth (using a calculator as needed).


3e^x-1=17


Answer


















x = 6.00


x = 0.78


x = 1.79


None of the above

Customer:

i thought you said 18 was wrong

Ray Atkinson :

Eep. you're right.

Ray Atkinson :

I'm on #4 of the last 6

Customer:


now 18 is Solve this exponential equation to the nearest hundredth:


2^x+1=9


 




Answer



















x = 2.17





x = 8.00





x = 1.65





x = 3.17



Customer:

wow your good

Ray Atkinson :

Compound interest and annuities are fun equations to run

Customer:

if you say so lol

Ray Atkinson :

try this one on your own sometime. $80 per month at 4.5% for 40 years.
80((1+0.045/12)^(40*12)-1)/(0.045/12)

Customer:

i will do my best

Ray Atkinson :

Just putting $80 in the bank each month for 40 years, you will have $107292.05

Customer:

i miss the class room for sure.

Ray Atkinson :

less than $40000 of that is your deposits. Almost $7000 is interest.

Ray Atkinson :

$70000

Ray Atkinson :

Interest is a beautiful thing....unless you are the one paying it.

Ray Atkinson :

Ok, back to #4

Customer:

i should have started that when I was 10 lol thats a lot of money

Customer:

sorry i will stop

Ray Atkinson :

no need to stop. I like to chat when I am working.

Ray Atkinson :

It sure is a lot of money.

Customer:

yeah but i have to be up for work four hours from now and i have been up for over 19 hours

Ray Atkinson :

Oy. Get some sleep. I will be done soon.

Customer:

i would like to know if i can ask for you again in the future

Ray Atkinson :

You can put "For Ray Atkinson" at the beginning of your question any time.

Ray Atkinson :

no one else will take it. We are a very ethical bunch.

Customer:

oh i can't go to bed until i get this done since i will be away from computer for the most of tomorrow.

Ray Atkinson :

Ok. Quick.

Customer:

thats awesome thank you

Ray Atkinson :

Ok. I am done except for #5. You had an idea about that?

Customer:

yes thank soooooooooo much

Ray Atkinson :

I have not posted the answer.

Ray Atkinson :

...and I found an example for #5

Customer:

yeah

Ray Atkinson :

Let me upload the file, and then you can rate.

Customer:

ok with pleasure

Ray Atkinson :

Enjoy it...and get some sleep!

Ray Atkinson :

I'm going to go get horizontal and count the inside of my eyelids myself.

Customer:

thank you again and hopefully speak with you next time. sweet dreams

Ray Atkinson, Graduate Student
Category: Homework
Satisfied Customers: 1774
Experience: Degrees in Math, Education and Accounting, years and years of tutoring.
Ray Atkinson and 6 other Homework Specialists are ready to help you

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